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Finding the Fourth Proportional to 6,201.94, 8,542.05 and 5,734.82

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Solution

The fourth proportional to 6,201.94, 8,542.05 and 5,734.82 is: 7,898.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,201.94 : 8,542.05 = 5,734.82 : x
  2. Step 2: Convert to fraction form
    6,201.94/8,542.05 = 5,734.82/x
  3. Step 3: Cross multiply
    6,201.94x = 8,542.05 × 5,734.82
  4. Step 4: Simplify right side
    6,201.94x = 48,987,119.18
  5. Step 5: Solve for x
    x = 48,987,119.18/6,201.94
  6. Step 6: Final answer
    x = 7,898.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.